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RideAnS [48]
3 years ago
11

Factor completely. 2x^4+4x^3-30x^2

Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

Step-by-step explanation:

2x⁴ + 4x³ - 30x² = 2x²*(x² + 2x - 15)

x² + 2x - 15

Sum = 2

Product = -15

Factors = 5 ; (-3)

x² + 2x - 15 = x² + 5x - 3x - 3 *5

                  = x(x + 5) - 3(x + 5)

                  = (x + 5)(x - 3)

2x⁴ + 4x³ - 30x² = (2x²) (x + 5)(x - 3)

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Triangle RST is shown. What is the y-coordinate of the final image of vertex T after the triangle is reflected over the x-axis f
gavmur [86]

Answer:

R¹(-7, -3) ,  S¹(-2, -1),  T¹(-5, 4)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

From the graph, the points are R(-4,5), S(1,3),T(-2,-2)

First, the points are reflected over the x-axis then  transform in to

(x,y)→(x,-y)

R(-4,5)→R¹(-4,-5)

S(1,3)→S¹(1,-3)

T(-2,-2)→T¹(-2,2)

<u><em>Step(ii):-</em></u>

Next, The points are shifted to 3 units left then the transform

(x,y)→ (x -3 ,y)

R¹(-4,-5)→ R¹(-4-3, -5) → R¹(-7, -5)

S¹(1,-3)   →   S¹(1-3, -3) →  S¹(-2, -3)

T¹(-2,2)  →   T¹(-2-3, 2)→ T¹(-5, 2)

<u><em>Step(iii):-</em></u>

Now again the points are shifted to '2' units up then transform to

(x,y) )→ (x  ,y+2)

R¹(-7, -5+2) →  R¹(-7, -3)

 S¹(-2, -3+2) →  S¹(-2, -1)

 T¹(-5, 2+2)  →  T¹(-5, 4)

4 0
3 years ago
Which equations are true for x = –2 and x = 2? Select two options
fomenos

Answer:

Number 1 and Number 4

Step-by-step explanation:

By factoring, you can figure out the roots (x = -2 or x = 2)...

1. x^2 - 4 = 0

--> (x + 2)(x - 2) = 0

--> x = -2, x = 2

2. x^2 + 4 = 0

--> factors weirdly, so I won't write it. You'd have to use the quadratic formula.

3. 3x^2 + 12 = 0

--> 3 (x^2 + 4) = 0

--> factors weirdly (same as above)

4. 4x^2 - 16 = 0

--> 4 (x^2 - 4) = 0

--> 4 (x+2) (x-2) = 0

--> x = -2, x = 2

5. 2 (x-2) 2 = 0

--> x = 2

7 0
1 year ago
12p+ 15 - 13 - 12p<br><br> And show me how you got the answer
dezoksy [38]

Answer:

2

Step-by-step explanation:

According to me, you would just have to combine like terms and simplify them as much as possible.

12p + 15 - 13 - 12p

12p - 12p + 15 - 13

0 + 15 - 13

0 + 2

2

Hope this helps :D

5 0
3 years ago
A valet makes $53 each day he works and approximately $7 in tips for each car he parks. if he wants to make at least $186 in one
eimsori [14]

Answer:

19 Cars

Step-by-step explanation:

Write a linear equation:

y=7x+53

Y = Total money

X = cars parked

If we want to earn 186 dollars a day then sub y for 186 and solve x:

186=7x+53

186-53=7x

133=7x

7x=133

x=133/7

x=19

This means that he will need to park 19 cars a day to earn a total of 186 dollars in one day.

5 0
1 year ago
Given that f(x) = x + 4x evaluate f(-2).
Makovka662 [10]
The answer is -10 because when u plug in -2 for x u get 4(-2)=-8 then -2+-8=-10
4 0
2 years ago
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